Finding the Fourth Proportional to 1,357.50, 1,873.59 and 805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,357.50 : 1,873.59 = 805.50 : x
2. Step 2: Convert to fraction form
   1,357.50/1,873.59 = 805.50/x
3. Step 3: Cross multiply
   1,357.50x = 1,873.59 × 805.50
4. Step 4: Simplify right side
   1,357.50x = 1,509,176.75
5. Step 5: Solve for x
   x = 1,509,176.75/1,357.50
6. Step 6: Final answer
   x = 1,111.73